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bulgar [2K]
3 years ago
15

What is the equation of the line shown in the graph?

Mathematics
1 answer:
Serga [27]3 years ago
6 0
Y=2x-4
The slope is 2 and the y intercept is -4
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Using your knowledge of exponential and logarithmic functions and properties, what is the intensity of a fire alarm that has a s
Ierofanga [76]

Option B:

I=1.0\times\ 10^{0} \ \text {watts}/ \text m^2}

Solution:

Given sound level = 120 decibel

To find the intensity of a fire alarm:

$\beta=10\log\left(\frac{I}{I_0} \right)

where I_0=1\times10^{-12}\ \text {watts}/ \text m^2}

Step 1: First divide the decibel level by 10.

120 ÷ 10 = 12

Step 2: Use that value in the exponent of the ratio with base 10.

10^{12}

Step 3: Use that power of twelve to find the intensity in Watts per square meter.

$10^{12}=\left(\frac{I}{I_0} \right)

$10^{12}=\left(\frac{I}{1\times10^{-12}\ \text {watts}/ \text m^2} \right)

Now, do the cross multiplication,

I=10^{12}\times1\times\ 10^{-12} \ \text {watts}/ \text m^2}

I=1\times\ 10^{12-12} \ \text {watts}/ \text m^2}

I=1\times\ 10^{0} \ \text {watts}/ \text m^2}

I=1.0\times\ 10^{0} \ \text {watts}/ \text m^2}

Option B is the correct answer.

Hence I=1.0\times\ 10^{0} \ \text {watts}/ \text m^2}.

5 0
3 years ago
What is the greatest common factors of 12 and 27
aalyn [17]
12 is divisible by 1,2,3,4,6,12 and 27 is by 1,3,9,27 so the GCF is 3
3 0
4 years ago
3x^2-5x-4+x^3 in standard form
Zinaida [17]

Answer:

x^3 +3x^2 - 5x - 4

Step-by-step explanation:

Have to rearrange the terms into the correct format from biggest exponent to no exponent. Basically!

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2 years ago
How are the variables related on the graph?
leva [86]
As speed increases, height increases :)
6 0
3 years ago
Read 2 more answers
Slove this question c^2-81=0
Firdavs [7]
To solve a square root, get the ^2 on one side and the 81 on the other side.
add 81 to both sides.

c^2 = 81
to clear the power of 2, take the square root of both sides.
c = + - sqrt81
c = + - 9
c = 9 and c = -9
3 0
3 years ago
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